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2772425440 = 25524171899
BaseRepresentation
bin1010010100111111…
…1101101011100000
321011012210210201201
42211033331223200
521134220103230
61135034410544
7125463141001
oct24517755340
97135723651
102772425440
1111a2a642a4
12654590a54
133524c4235
141c42c71a8
151135de5ca
hexa53fdae0

2772425440 has 48 divisors (see below), whose sum is σ = 6577124400. Its totient is φ = 1104353280.

The previous prime is 2772425437. The next prime is 2772425441. The reversal of 2772425440 is 445242772.

It is a self number, because there is not a number n which added to its sum of digits gives 2772425440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772425441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2611 + ... + 74509.

It is an arithmetic number, because the mean of its divisors is an integer number (137023425).

Almost surely, 22772425440 is an apocalyptic number.

2772425440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772425440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288562200).

2772425440 is an abundant number, since it is smaller than the sum of its proper divisors (3804698960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2772425440 is a wasteful number, since it uses less digits than its factorization.

2772425440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72155 (or 72147 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 37.

The square root of 2772425440 is about 52653.8264516455. The cubic root of 2772425440 is about 1404.8176610171.

The spelling of 2772425440 in words is "two billion, seven hundred seventy-two million, four hundred twenty-five thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 241 482 964 1205 1928 2410 3856 4820 7712 9640 19280 38560 71899 143798 287596 359495 575192 718990 1150384 1437980 2300768 2875960 5751920 11503840 17327659 34655318 69310636 86638295 138621272 173276590 277242544 346553180 554485088 693106360 1386212720 2772425440